A multi-curve HJM factor model for pricing and risk management

References

• Alfeus, M., Grasselli, M. and Schlögl, E., A consistent stochastic model of the term structure of interest rates for multiple tenors. J. Econ. Dyn. Control, 2020, 114, 103806.
   Web of Science ®Google Scholar
• Antes, S., Ilg, M., Schmid, B. and Zagst, R., Empirical evaluation of hybrid defaultable bond pricing models. Appl. Math. Finance, 2008, 15, 219–249.
   Google Scholar
• Berninger, C. and Pfeiffer, J., The Gauss2++ model: A comparison of different measure change specifications for a consistent risk neutral and real world calibration. Eur. Actuar. J., 2021, 11, 677–705.
   Web of Science ®Google Scholar
• Bianchetti, M., Two curves, one price. Risk, 2010, 23(8), 66–72.
   Google Scholar
• Bianchetti, M. and Morini, M., Interest Rate Modelling After the Financial Crisis, 2013 (Risk Books: London).
   Google Scholar
• Carr, P. and Madan, D.B., Option valuation using the fast Fourier transform. J. Comput. Finance, 1999, 2, 61–73.
   Google Scholar
• Chatterjee, S., Application Of the Kalman filter for estimating continuous time term structure models: The case of UK And Germany. Working Paper, 2005.
   Google Scholar
• Cheyette, O., Markov representation of the Heath-Jarrow-Morton model. SSRN-id6073, 1996.
   Google Scholar
• Crispoldi, C., Wigger, G. and Larkin, P., SABR and SABR LIBOR Market Models in Practice. Applied Quantitative Finance, 2015 (Palgrave Macmillan: London).
   Google Scholar
• Cuchiero, C., Fontana, C. and Gnoatto, A., A general HJM framework for multiple yield curve modelling. Finance Stoch., 2016, 20, 267–320.
   Web of Science ®Google Scholar
• Cuchiero, C., Fontana, C. and Gnoatto, A., Affine multiple yield curve models. Math. Finance, 2019, 29, 568–611.
   Web of Science ®Google Scholar
• de Kort, J. and Vellekoop, M., Existence of optimal consumption strategies in markets with longevity risk. Insur. Math. Econ., 2017, 72, 107–121.
   Web of Science ®Google Scholar
• Diez, F. and Korn, R., Yield curve shapes of Vasicek interest rate models, measure transformations and an application for the simulation of pension products. Eur. Actuar. J., 2020, 10, 91–120.
   Web of Science ®Google Scholar
• Filipovic, D., Term Structure Models. Springer Finance, 2009 (Springer: Dordrecht).
   Google Scholar
• Filipovic, D. and Trolle, A.B., The term structure of interbank risk. J. Financ. Econ., 2013, 109, 707–733.
   Web of Science ®Google Scholar
• Fontana, C., Grbac, Z., Gümbel, S. and Schmidt, T., Term structure modelling for multiple curves with stochastic discontinuities. Finance Stoch., 2020, 24, 465–511.
   Web of Science ®Google Scholar
• Gallitschke, J., Seifried, S. and Seifried, F., Post-crisis interest rates: Xibor mechanics and basis spreads. J. Bank. Finance, 2017, 78, 142–152.
   Web of Science ®Google Scholar
• Grbac, Z., Papapantoleon, A., Schoenmakers, J. and Skovmand, D., Affine LIBOR models with multiple curves: Theory, examples and calibration. SIAM J. Financ. Math., 2015, 6, 984–1025.
   Google Scholar
• Grbac, Z. and Runggaldier, W., Interest Rate Modeling: Post-Crisis Challenges and Approaches. Springer Briefs in Quantitative Finance, 2015 (Springer: London).
   Google Scholar
• Henrard, M., The irony in the derivatives discounting. Wilmott, 2007, 30, 92–98.
   Google Scholar
• Henrard, M., The irony in the derivatives discounting part II: The crisis. Wilmott J., 2010, 2, 301–316.
   Google Scholar
• Henrard, M., Interest Rate Modelling in the Multi-Curve Framework: Foundations, Evolution and Implementation, 2014 (Palgrave Macmillan: London).
   Google Scholar
• Höcht, S. and Zagst, R., Pricing credit derivatives under stochastic recovery in a hybrid model. Appl. Stoch. Models. Bus. Ind., 2010, 26, 254–276.
   Web of Science ®Google Scholar
• Hull, J., Options, Futures, and Other Derivatives, 9th edn, 2015 (Pearson Education: Harlow).
   Google Scholar
• Hull, J. and White, A., A generalized procedure for building trees for the short rate and its application to determining market implied volatility functions. Quant. Finance, 2015, 15, 443–454.
   Web of Science ®Google Scholar
• Hull, J., Sokol, A. and White, A., Short rate joint measure models. Risk, 2014, 10, 59–63.
   Google Scholar
• Keller-Ressel, M., Papapantoleon, A. and Teichmann, J., The affine LIBOR models. Math. Finance, 2013, 23, 627–658.
   Web of Science ®Google Scholar
• Kolbe, A. and Zagst, R., A hybrid-form model for the prepayment-risk-neutral valuation of mortgage-backed securities. Int. J. Theor. Appl. Finance, 2007, 11, 635–656.
   Google Scholar
• Konikov, M. and McClelland, A., Multi-Curve Cheyette-style models with lower bounds on tenor basis spreads. Risk, 2020, 29 December 2020.
   Google Scholar
• Macrina, A. and Mahomed, O., Consistent valuation across curves using pricing kernels. Risks, 2018, 6, 18.
   Web of Science ®Google Scholar
• Mercurio, F., A LIBOR market model with a stochastic basis. Risk, 2010, 23(12), 84–89.
   Google Scholar
• Miglietta, G., Topics in interest rate modeling. PhD thesis, University of Padova, 2015.
   Google Scholar
• Moreni, N. and Pallavicini, A., Parsimonious HJM modelling for multiple yield curve dynamics. Quant. Finance, 2014, 14, 199–210.
   Web of Science ®Google Scholar
• Russo, V. and Torri, G., Calibration of one-factor and two-factor Hull–White models using swaptions. Comput. Manage. Sci., 2019, 16, 275–295.
   Web of Science ®Google Scholar
• Schmid, B., Credit Risk Pricing Models: Theory and Practice, 2004 (Springer Finance: Berlin Heidelberg).
   Google Scholar
• Stein, H.J., Fixing risk neutral risk measures. Int. J. Theor. Appl. Finance, 2016, 19(3), 1650021.
   Web of Science ®Google Scholar
• Steinrücke, L., Swishchuk, A. and Zagst, R., The Markov-switching jump diffusion LIBOR market model. Quant. Finance, 2015, 15, 455–476.
   Web of Science ®Google Scholar
• Van Dijk, M.T., De Graaf, C.S. and Oosterlee, C.W., Between P and Q: The PQ measure for pricing in asset liability management. J. Risk Financ. Manage., 2018, 11, 1–23.
   Web of Science ®Google Scholar
• Zagst, R., Interest-Rate Management, 2002 (Springer: Berlin Heidelberg).
   Google Scholar
• Zagst, R., Meyer, T. and Hagedorn, H., Integrated modelling of stock and bond markets. Int. J. Finance, 2007, 19, 4252–4277.
   Google Scholar
• Zhong, Y., LIBOR market model with multiplicative basis. Int. J. Financ. Eng., 2018, 5(2), 1850014.
   Web of Science ®Google Scholar